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106121224 = 23111796737
BaseRepresentation
bin1100101001101…
…00100000001000
321101200111221201
412110310200020
5204131334344
614310313544
72426005216
oct624644010
9241614851
10106121224
11549a24a0
122b6588b4
1318ca7a31
1410145cb6
1594b34d4
hex6534808

106121224 has 32 divisors (see below), whose sum is σ = 218311200. Its totient is φ = 47960320.

The previous prime is 106121221. The next prime is 106121261. The reversal of 106121224 is 422121601.

It is a super-2 number, since 2×1061212242 = 22523428366516352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106121221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12384 + ... + 19120.

It is an arithmetic number, because the mean of its divisors is an integer number (6822225).

Almost surely, 2106121224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109155600).

106121224 is an abundant number, since it is smaller than the sum of its proper divisors (112189976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106121224 is a wasteful number, since it uses less digits than its factorization.

106121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6933 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 106121224 is about 10301.5156166459. The cubic root of 106121224 is about 473.4426915652.

Adding to 106121224 its reverse (422121601), we get a palindrome (528242825).

The spelling of 106121224 in words is "one hundred six million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 179 358 716 1432 1969 3938 6737 7876 13474 15752 26948 53896 74107 148214 296428 592856 1205923 2411846 4823692 9647384 13265153 26530306 53060612 106121224